Graphing Parametric Equations Worksheet

Graphing Parametric Equations Worksheet 2. parametric equations of lines on a plane. = 4 – 2t. = 5 3t. use a table of values with three values of t to plot the graph. eliminate the parameter to find an explicit equation for y as a function of x. solve for t in terms of x. substitute into the y equation to eliminate t. 10) x cos t , y sin t . use the parameter to write each rectangular equation as a pair of parametric equations. many answers. ex: y t t, x t t t and y t, x . 14) write a set of parametric y x . many answers. ex: y t , x t and y t , x t.

Parametric Equations Parametric Curves Graphing 3 Ws 34 Practice Ch a way that and 2 t for t 0. dt t 1 dt(a) find the coordinates of. p in terms of t given that t = 1, x ln2 , and. = 0.(b) write an equation expressing y in terms of x.(c) find the average rate o. change of y with respect to x as t varies from 0 to 4.(d) find the insta. 4 a curve c is defined by the parametric equations xt3 and y t t 2 52. write an equation of the line that is tangent to the graph of c at the point 8, 4 . 5 consider the curve c given by the parametric equations xt 2 3cos and yt 3 2sin, for 22 t ss d d. (a) find dy dx as a function of t. (b) find an equation of the tangent line at the point. Solution. x2 4 y2 49 =1 x 2 4 y 2 49 = 1 and the parametric curve resulting from the parametric equations should be at (0,−7) (0, − 7) when t = 0 t = 0 and the curve should have a clockwise rotation. solution. here is a set of practice problems to accompany the parametric equations and curves section of the parametric equations and. Review sheet b. the figure to the left shows the graphs of r 6 sin and r 3 3 cos for 0 2 . set up an equation to find the value of θ for the intersection(s) of both graphs. use your calculator to solve your equation and find the polar coordinates of the point(s) of intersection. set up an expression with two or more integrals to find the area.

Parametric Equations Worksheet Teaching Resources Solution. x2 4 y2 49 =1 x 2 4 y 2 49 = 1 and the parametric curve resulting from the parametric equations should be at (0,−7) (0, − 7) when t = 0 t = 0 and the curve should have a clockwise rotation. solution. here is a set of practice problems to accompany the parametric equations and curves section of the parametric equations and. Review sheet b. the figure to the left shows the graphs of r 6 sin and r 3 3 cos for 0 2 . set up an equation to find the value of θ for the intersection(s) of both graphs. use your calculator to solve your equation and find the polar coordinates of the point(s) of intersection. set up an expression with two or more integrals to find the area. Worksheet by kuta software llc accelerated precalculus graphing parametric equations name date period ©b 2h0v1h9g dkcuntmaj dssodfmtpw^airkei `lmldcb.f r jafl lk vrhilgjhmtbsv ordexspecryvoewdk. 1 sketch the curve for each pair of parametric equations. 1) x = t, y = t2 2 2t 2 x y 8 6 4 22468 8 6. Graphing parametric equations. more parametric equations. 1. show that the curve. 2 x = t − 3 t . 3 5 , y = t . 2 t − 10 t 9 intersects itself at the point (3, 1). 2. a point traces a curve whose parametric equations are given by the following.

Parametric Equation Worksheet Doc Parametric Equations Name 1 Fill Worksheet by kuta software llc accelerated precalculus graphing parametric equations name date period ©b 2h0v1h9g dkcuntmaj dssodfmtpw^airkei `lmldcb.f r jafl lk vrhilgjhmtbsv ordexspecryvoewdk. 1 sketch the curve for each pair of parametric equations. 1) x = t, y = t2 2 2t 2 x y 8 6 4 22468 8 6. Graphing parametric equations. more parametric equations. 1. show that the curve. 2 x = t − 3 t . 3 5 , y = t . 2 t − 10 t 9 intersects itself at the point (3, 1). 2. a point traces a curve whose parametric equations are given by the following.